Stir milk and pudding mix in medium bowl with large spoon just until pudding mix is moistened. Immediately stir in cookie crumbs; mix well.
Shape into 42 (1-inch) balls. Freeze 10 min. Dip in semi-sweet chocolate; place in single layer in shallow waxed paper-lined pan. Refrigerate 20 min. or until firm.
Melt white chocolate as directed on package; drizzle over cookie balls. Refrigerate 10 min. or until firm.